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What is the Least Common Multiple of 12432 and 12443?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12432 and 12443 is 154691376.

LCM(12432,12443) = 154691376

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Least Common Multiple of 12432 and 12443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12432 and 12443, than apply into the LCM equation.

GCF(12432,12443) = 1
LCM(12432,12443) = ( 12432 × 12443) / 1
LCM(12432,12443) = 154691376 / 1
LCM(12432,12443) = 154691376

Least Common Multiple (LCM) of 12432 and 12443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12432 and 12443. First we will calculate the prime factors of 12432 and 12443.

Prime Factorization of 12432

Prime factors of 12432 are 2, 3, 7, 37. Prime factorization of 12432 in exponential form is:

12432 = 24 × 31 × 71 × 371

Prime Factorization of 12443

Prime factors of 12443 are 23, 541. Prime factorization of 12443 in exponential form is:

12443 = 231 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 12432 and 12443.

LCM(12432,12443) = 24 × 31 × 71 × 371 × 231 × 5411
LCM(12432,12443) = 154691376